Question

1/4(X-10)=2X+1

what is X?

Answer 1

Answer:
`x=-2`

Explanation:

`(1)/(4)(x-10)=2x+1`

Distribute 1/4

`(1)/(4)x-(1)/(4)(10)=2x+1`

`(1)/(4)x-(5)/(2)=2x+1`

add 5/2

`(1)/(4)x-(5)/(2)+(5)/(2)=2x+1+(5)/(2)`

`(1)/(4)x=2x+(1*2+5)/(2)`

`(1)/(4)x=2x+(2+5)/(2)`

`(1)/(4)x=2x+(7)/(2)`

Subtract 2x

`(1)/(4)x-2x=2x-2x+(7)/(2)`

`(1)/(4)x-2x=(7)/(2)`

`(1-2*4)/(4)x=(7)/(2)`

`(1-8)/(4)x=(7)/(2)`

`-(7)/(4) x=(7)/(2)`

Multiply by the negative reciprocal of -7/4 which is basically inverting the fraction -4/7

`(-(4)/(7) )-(7)/(4) x=(7)/(2)(-(4)/(7) )`

`x=-(28)/(14)\\ x=-2`